Finding the Fourth Proportional to 136,113,781,752.40, 187,921,789,762.12 and 86,646,324,139.62
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Solution
The fourth proportional to 136,113,781,752.40, 187,921,789,762.12 and 86,646,324,139.62 is: 119,625,890,185.36
Step by Step Solution
- Step 1: Write the proportion equation
136,113,781,752.40 : 187,921,789,762.12 = 86,646,324,139.62 : x - Step 2: Convert to fraction form
136,113,781,752.40/187,921,789,762.12 = 86,646,324,139.62/x - Step 3: Cross multiply
136,113,781,752.40x = 187,921,789,762.12 × 86,646,324,139.62 - Step 4: Simplify right side
136,113,781,752.40x = 16,282,732,308,626,170,445,824 - Step 5: Solve for x
x = 16,282,732,308,626,170,445,824/136,113,781,752.40 - Step 6: Final answer
x = 119,625,890,185.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.